#include <bits/stdc++.h>
#define F first
#define S second
#define all(a) begin(a), end(a)
#define pb push_back
#define eb emplace_back
using namespace std;
using ll = long long;
using cll = complex<long long>;
using pii = pair<int, int>;
int n;
vector<pair<cll, ll>> v;
ll cross(cll a, cll b) {
return (conj(a) * b).imag();
}
ll ccw(cll a, cll b, cll c) {
return cross(b - a, c - b);
}
bool sign(cll a) {
return a.imag() > 0 || (a.imag() == 0 && a.real() > 0);
}
vector<pair<cll, pair<int, int>>> events;
struct Item {
ll mxPref = 0, mxSuf = 0, mxSuma = 0, suma = 0;
};
struct SegTree {
int static const N = (1 << 11);
array<Item, 2 * N> val;
Item merg(Item a, Item b) {
Item ret;
ret.mxPref = max(a.mxPref, a.suma + b.mxPref);
ret.mxSuf = max(b.mxSuf, b.suma + a.mxSuf);
ret.suma = a.suma + b.suma;
ret.mxSuma = max({a.mxSuma, b.mxSuma, a.mxSuf + b.mxPref});
return ret;
}
void upd(int p, ll elem, int ver, int lx, int rx) {
if (rx - lx == 1) {
val[ver].mxPref = val[ver].mxSuf = val[ver].mxSuma = val[ver].suma = elem;
return;
}
int mid = (lx + rx) / 2;
if (p < mid) upd(p, elem, ver * 2 + 1, lx, mid);
else upd(p, elem, ver * 2 + 2, mid, rx);
val[ver] = merg(val[ver * 2 + 1], val[ver * 2 + 2]);
}
void upd(int p, ll elem) { upd(p, elem, 0, 0, N); }
ll query() { return val[0].mxSuma; }
};
void solve() {
cin >> n;
v.resize(n);
for (auto &[p, val] : v) {
ll a, b;
cin >> a >> b >> val;
p.real(a);
p.imag(b);
}
sort(all(v), [](auto const &a, auto const &b) {
return a.F.real() < b.F.real() || (a.F.real() == b.F.real() && a.F.imag() > b.F.imag());
});
SegTree st;
for (int i = 0; i < n; ++i) {
st.upd(i, v[i].S);
}
for (int i = 0; i < n; ++i) {
for (int j = i + 1; j < n; ++j) {
events.eb((v[j].F - v[i].F) * cll(0, 1), pii{i, j});
events.eb((v[j].F - v[i].F) * cll(0, -1), pii{j, i});
}
}
sort(all(events), [&](auto const &a, auto const &b) {
if (sign(a.F) != sign(b.F)) return sign(a.F) > sign(b.F);
ll c = ccw(cll(0, 0), a.F, b.F);
if (c == 0) return a.S < b.S;
return c > 0;
});
ll res = st.query();
int pos[n + 10];
iota(pos, pos + n + 10, 0);
for (int i = 0; i < (int) size(events); ++i) {
auto p = events[i].S;
st.upd(pos[p.F], v[p.S].S);
st.upd(pos[p.S], v[p.F].S);
swap(pos[p.F], pos[p.S]);
if (ccw(cll(0, 0), events[i].F, events[(i + 1) % size(events)].F) == 0) continue;
res = max(res, st.query());
}
cout << res << '\n';
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
888 KB |
Output is correct |
2 |
Correct |
3 ms |
916 KB |
Output is correct |
3 |
Correct |
3 ms |
916 KB |
Output is correct |
4 |
Correct |
3 ms |
916 KB |
Output is correct |
5 |
Correct |
3 ms |
896 KB |
Output is correct |
6 |
Correct |
4 ms |
916 KB |
Output is correct |
7 |
Correct |
3 ms |
916 KB |
Output is correct |
8 |
Correct |
3 ms |
916 KB |
Output is correct |
9 |
Correct |
3 ms |
916 KB |
Output is correct |
10 |
Correct |
3 ms |
916 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
380 KB |
Output is correct |
15 |
Correct |
1 ms |
440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
888 KB |
Output is correct |
2 |
Correct |
4 ms |
916 KB |
Output is correct |
3 |
Correct |
4 ms |
916 KB |
Output is correct |
4 |
Correct |
4 ms |
916 KB |
Output is correct |
5 |
Correct |
4 ms |
916 KB |
Output is correct |
6 |
Correct |
4 ms |
916 KB |
Output is correct |
7 |
Correct |
4 ms |
916 KB |
Output is correct |
8 |
Correct |
4 ms |
916 KB |
Output is correct |
9 |
Correct |
4 ms |
892 KB |
Output is correct |
10 |
Correct |
4 ms |
916 KB |
Output is correct |
11 |
Correct |
1 ms |
444 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
4 ms |
916 KB |
Output is correct |
22 |
Correct |
4 ms |
916 KB |
Output is correct |
23 |
Correct |
4 ms |
916 KB |
Output is correct |
24 |
Correct |
4 ms |
892 KB |
Output is correct |
25 |
Correct |
3 ms |
916 KB |
Output is correct |
26 |
Correct |
3 ms |
916 KB |
Output is correct |
27 |
Correct |
3 ms |
916 KB |
Output is correct |
28 |
Correct |
3 ms |
916 KB |
Output is correct |
29 |
Correct |
3 ms |
916 KB |
Output is correct |
30 |
Correct |
3 ms |
900 KB |
Output is correct |
31 |
Correct |
4 ms |
916 KB |
Output is correct |
32 |
Correct |
4 ms |
916 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
888 KB |
Output is correct |
2 |
Correct |
4 ms |
916 KB |
Output is correct |
3 |
Correct |
4 ms |
916 KB |
Output is correct |
4 |
Correct |
4 ms |
916 KB |
Output is correct |
5 |
Correct |
4 ms |
916 KB |
Output is correct |
6 |
Correct |
4 ms |
916 KB |
Output is correct |
7 |
Correct |
4 ms |
916 KB |
Output is correct |
8 |
Correct |
4 ms |
916 KB |
Output is correct |
9 |
Correct |
4 ms |
892 KB |
Output is correct |
10 |
Correct |
4 ms |
916 KB |
Output is correct |
11 |
Correct |
1 ms |
444 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
4 ms |
916 KB |
Output is correct |
22 |
Correct |
4 ms |
916 KB |
Output is correct |
23 |
Correct |
4 ms |
916 KB |
Output is correct |
24 |
Correct |
4 ms |
892 KB |
Output is correct |
25 |
Correct |
3 ms |
916 KB |
Output is correct |
26 |
Correct |
3 ms |
916 KB |
Output is correct |
27 |
Correct |
3 ms |
916 KB |
Output is correct |
28 |
Correct |
3 ms |
916 KB |
Output is correct |
29 |
Correct |
3 ms |
916 KB |
Output is correct |
30 |
Correct |
3 ms |
900 KB |
Output is correct |
31 |
Correct |
4 ms |
916 KB |
Output is correct |
32 |
Correct |
4 ms |
916 KB |
Output is correct |
33 |
Correct |
1902 ms |
99080 KB |
Output is correct |
34 |
Correct |
1942 ms |
99164 KB |
Output is correct |
35 |
Correct |
1933 ms |
99136 KB |
Output is correct |
36 |
Correct |
1976 ms |
99104 KB |
Output is correct |
37 |
Correct |
1931 ms |
99144 KB |
Output is correct |
38 |
Correct |
1922 ms |
99072 KB |
Output is correct |
39 |
Correct |
1930 ms |
99072 KB |
Output is correct |
40 |
Correct |
1959 ms |
99052 KB |
Output is correct |
41 |
Correct |
1813 ms |
99156 KB |
Output is correct |
42 |
Correct |
1612 ms |
99148 KB |
Output is correct |
43 |
Correct |
1947 ms |
99184 KB |
Output is correct |
44 |
Correct |
1880 ms |
99156 KB |
Output is correct |
45 |
Correct |
1657 ms |
99156 KB |
Output is correct |
46 |
Correct |
1761 ms |
99132 KB |
Output is correct |
47 |
Correct |
1836 ms |
99116 KB |
Output is correct |
48 |
Correct |
1722 ms |
99140 KB |
Output is correct |
49 |
Correct |
1612 ms |
99148 KB |
Output is correct |
50 |
Correct |
1933 ms |
99160 KB |
Output is correct |
51 |
Execution timed out |
2009 ms |
99060 KB |
Time limit exceeded |
52 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
888 KB |
Output is correct |
2 |
Correct |
4 ms |
916 KB |
Output is correct |
3 |
Correct |
4 ms |
916 KB |
Output is correct |
4 |
Correct |
4 ms |
916 KB |
Output is correct |
5 |
Correct |
4 ms |
916 KB |
Output is correct |
6 |
Correct |
4 ms |
916 KB |
Output is correct |
7 |
Correct |
4 ms |
916 KB |
Output is correct |
8 |
Correct |
4 ms |
916 KB |
Output is correct |
9 |
Correct |
4 ms |
892 KB |
Output is correct |
10 |
Correct |
4 ms |
916 KB |
Output is correct |
11 |
Correct |
1 ms |
444 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
4 ms |
916 KB |
Output is correct |
22 |
Correct |
4 ms |
916 KB |
Output is correct |
23 |
Correct |
4 ms |
916 KB |
Output is correct |
24 |
Correct |
4 ms |
892 KB |
Output is correct |
25 |
Correct |
3 ms |
916 KB |
Output is correct |
26 |
Correct |
3 ms |
916 KB |
Output is correct |
27 |
Correct |
3 ms |
916 KB |
Output is correct |
28 |
Correct |
3 ms |
916 KB |
Output is correct |
29 |
Correct |
3 ms |
916 KB |
Output is correct |
30 |
Correct |
3 ms |
900 KB |
Output is correct |
31 |
Correct |
4 ms |
916 KB |
Output is correct |
32 |
Correct |
4 ms |
916 KB |
Output is correct |
33 |
Correct |
1902 ms |
99080 KB |
Output is correct |
34 |
Correct |
1942 ms |
99164 KB |
Output is correct |
35 |
Correct |
1933 ms |
99136 KB |
Output is correct |
36 |
Correct |
1976 ms |
99104 KB |
Output is correct |
37 |
Correct |
1931 ms |
99144 KB |
Output is correct |
38 |
Correct |
1922 ms |
99072 KB |
Output is correct |
39 |
Correct |
1930 ms |
99072 KB |
Output is correct |
40 |
Correct |
1959 ms |
99052 KB |
Output is correct |
41 |
Correct |
1813 ms |
99156 KB |
Output is correct |
42 |
Correct |
1612 ms |
99148 KB |
Output is correct |
43 |
Correct |
1947 ms |
99184 KB |
Output is correct |
44 |
Correct |
1880 ms |
99156 KB |
Output is correct |
45 |
Correct |
1657 ms |
99156 KB |
Output is correct |
46 |
Correct |
1761 ms |
99132 KB |
Output is correct |
47 |
Correct |
1836 ms |
99116 KB |
Output is correct |
48 |
Correct |
1722 ms |
99140 KB |
Output is correct |
49 |
Correct |
1612 ms |
99148 KB |
Output is correct |
50 |
Correct |
1933 ms |
99160 KB |
Output is correct |
51 |
Execution timed out |
2009 ms |
99060 KB |
Time limit exceeded |
52 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
888 KB |
Output is correct |
2 |
Correct |
3 ms |
916 KB |
Output is correct |
3 |
Correct |
3 ms |
916 KB |
Output is correct |
4 |
Correct |
3 ms |
916 KB |
Output is correct |
5 |
Correct |
3 ms |
896 KB |
Output is correct |
6 |
Correct |
4 ms |
916 KB |
Output is correct |
7 |
Correct |
3 ms |
916 KB |
Output is correct |
8 |
Correct |
3 ms |
916 KB |
Output is correct |
9 |
Correct |
3 ms |
916 KB |
Output is correct |
10 |
Correct |
3 ms |
916 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
380 KB |
Output is correct |
15 |
Correct |
1 ms |
440 KB |
Output is correct |
16 |
Correct |
4 ms |
888 KB |
Output is correct |
17 |
Correct |
4 ms |
916 KB |
Output is correct |
18 |
Correct |
4 ms |
916 KB |
Output is correct |
19 |
Correct |
4 ms |
916 KB |
Output is correct |
20 |
Correct |
4 ms |
916 KB |
Output is correct |
21 |
Correct |
4 ms |
916 KB |
Output is correct |
22 |
Correct |
4 ms |
916 KB |
Output is correct |
23 |
Correct |
4 ms |
916 KB |
Output is correct |
24 |
Correct |
4 ms |
892 KB |
Output is correct |
25 |
Correct |
4 ms |
916 KB |
Output is correct |
26 |
Correct |
1 ms |
444 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
4 ms |
916 KB |
Output is correct |
37 |
Correct |
4 ms |
916 KB |
Output is correct |
38 |
Correct |
4 ms |
916 KB |
Output is correct |
39 |
Correct |
4 ms |
892 KB |
Output is correct |
40 |
Correct |
3 ms |
916 KB |
Output is correct |
41 |
Correct |
3 ms |
916 KB |
Output is correct |
42 |
Correct |
3 ms |
916 KB |
Output is correct |
43 |
Correct |
3 ms |
916 KB |
Output is correct |
44 |
Correct |
3 ms |
916 KB |
Output is correct |
45 |
Correct |
3 ms |
900 KB |
Output is correct |
46 |
Correct |
4 ms |
916 KB |
Output is correct |
47 |
Correct |
4 ms |
916 KB |
Output is correct |
48 |
Correct |
1902 ms |
99080 KB |
Output is correct |
49 |
Correct |
1942 ms |
99164 KB |
Output is correct |
50 |
Correct |
1933 ms |
99136 KB |
Output is correct |
51 |
Correct |
1976 ms |
99104 KB |
Output is correct |
52 |
Correct |
1931 ms |
99144 KB |
Output is correct |
53 |
Correct |
1922 ms |
99072 KB |
Output is correct |
54 |
Correct |
1930 ms |
99072 KB |
Output is correct |
55 |
Correct |
1959 ms |
99052 KB |
Output is correct |
56 |
Correct |
1813 ms |
99156 KB |
Output is correct |
57 |
Correct |
1612 ms |
99148 KB |
Output is correct |
58 |
Correct |
1947 ms |
99184 KB |
Output is correct |
59 |
Correct |
1880 ms |
99156 KB |
Output is correct |
60 |
Correct |
1657 ms |
99156 KB |
Output is correct |
61 |
Correct |
1761 ms |
99132 KB |
Output is correct |
62 |
Correct |
1836 ms |
99116 KB |
Output is correct |
63 |
Correct |
1722 ms |
99140 KB |
Output is correct |
64 |
Correct |
1612 ms |
99148 KB |
Output is correct |
65 |
Correct |
1933 ms |
99160 KB |
Output is correct |
66 |
Execution timed out |
2009 ms |
99060 KB |
Time limit exceeded |
67 |
Halted |
0 ms |
0 KB |
- |